The angles of a pentagon are x°, (x + 20)°. (x + 40)°, (x + 60)° and (x + 80)°. The smallest angle of the pentagon is

Question

The angles of a pentagon are x&#xB0;, (x + 20)&#xB0;. (x + 40)&#xB0;, (x + 60)&#xB0; and (x + 80)&#xB0;. The smallest angle of the pentagon is

Philoid · Accepted Answer

The sum of interior angles of pentagon is

= (n – 2) × 180° [n is number of sides of polygon)]

= (5 – 2) X 180°

= 540°

x + (x + 20) + (x + 40) + (x + 60) + (x + 80) = 540

5x + 200 = 540

5x = 340

X = 340 / 5

= 68°

So, smallest angle of pentagon is 68°